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Simplifying -4y + 8 = -2y(4y + 10) Reorder the terms: 8 + -4y = -2y(4y + 10) Reorder the terms: 8 + -4y = -2y(10 + 4y) 8 + -4y = (10 * -2y + 4y * -2y) 8 + -4y = (-20y + -8y2) Solving 8 + -4y = -20y + -8y2 Solving for variable 'y'. Combine like terms: -4y + 20y = 16y 8 + 16y + 8y2 = -20y + -8y2 + 20y + 8y2 Reorder the terms: 8 + 16y + 8y2 = -20y + 20y + -8y2 + 8y2 Combine like terms: -20y + 20y = 0 8 + 16y + 8y2 = 0 + -8y2 + 8y2 8 + 16y + 8y2 = -8y2 + 8y2 Combine like terms: -8y2 + 8y2 = 0 8 + 16y + 8y2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(1 + 2y + y2) = 0 Factor a trinomial. 8((1 + y)(1 + y)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-1, -1}
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